A note on the gaps between consecutive zeros of the Riemann zeta-function

Details A note on the gaps between consecutive zeros of the Riemann zeta-function A note on the gaps between consecutive zeros of the Riemann zeta-function

2009-10-11

arxiv.org/abs/0910.2052v1

Mathematics

Number Theory

7 pages. Submitted for publication

Scientific paper

Assuming the Riemann Hypothesis, we show that infinitely often consecutive
non-trivial zeros of the Riemann zeta-function differ by at most 0.5155 times
the average spacing and infinitely often they differ by at least 2.69 times the
average spacing.

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